<html>
  <head>
    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
    <title>stdevf</title>
  </head>
  <body bgcolor="#FFFFFF">
    <center></center>
    <div align="right">Last update : 20/12/2004</div>
    <p>
      <b>stdevf</b> -  standard deviation</p>
    <h3>
      <font color="blue">Calling Sequence</font>
    </h3>
    <dl>
      <dd>
        <tt>s=stdevf(x,fre)  </tt>
      </dd>
      <dd>
        <tt>s=stdevf(x,fre,'r') or s=stdevf(x,fre,1)  </tt>
      </dd>
      <dd>
        <tt>s=stdevf(x,fre,'c') or s=stdevf(x,fre,2)  </tt>
      </dd>
    </dl>
    <h3>
      <font color="blue">Parameters</font>
    </h3>
    <ul>
      <li>
        <tt>
          <b>x</b>
        </tt>real or complex vector or matrix</li>
    </ul>
    <h3>
      <font color="blue">Description</font>
    </h3>
    <p>
    This function   computes the standard  deviation  of the
    values  of a vector  or matrix <tt>
        <b>   x</b>
      </tt>, each of them
    counted with  a  frequency  given  by the  corresponding
    values of the  integer vector or matrix  <tt>
        <b> fre</b>
      </tt> who
    has the same type of <tt>
        <b> x</b>
      </tt>.</p>
    <p>
    For  a vector or matrix  <tt>
        <b>  x</b>
      </tt>, s=stdevf(x,fre) (or
    <tt>
        <b> s=stdevf(x,fre,'*') </b>
      </tt>  returns in scalar <tt>
        <b> s</b>
      </tt>
    the standard deviation of all the entries  of <tt>
        <b> x</b>
      </tt>,
    each value  counted  with the multiplicity  indicated by
    the corresponding value of <tt>
        <b> fre</b>
      </tt>.</p>
    <p>
      <tt>
        <b>s=stdevf(x,fre,'r')</b>
      </tt>   (or,     equivalently,   
    <tt>
        <b>s=stdevf(x,fre,1)</b>
      </tt>) returns in each  entry of  the row
    vector  <tt>
        <b> s</b>
      </tt>  of type  1xsize(x,'c')  the standard
    deviation of each column of <tt>
        <b> x</b>
      </tt>, each value counted
    with  the multiplicity  indicated  by the  corresponding
    value of <tt>
        <b> fre</b>
      </tt>.</p>
    <p>
      <tt>
        <b>s=stdevf(x,fre,'c')</b>
      </tt>    (or,   equivalently,    
    <tt>
        <b> s=stdevf(x,fre,2)</b>
      </tt>)  returns   in each  entry  of  the
    column vector  <tt>
        <b>  s</b>
      </tt>   of type  size(x,'c')x1   the
    standard  deviation of each row  of <tt>
        <b> x</b>
      </tt>, each value
    counted    with the  multiplicity    indicated   by  the
    corresponding value of <tt>
        <b> fre</b>
      </tt>.</p>
    <h3>
      <font color="blue">Examples</font>
    </h3>
    <pre>


x=[0.2113249 0.0002211 0.6653811;0.7560439 0.9546254 0.6283918]
fre=[1 2 3;3 4 3]
m=stdevf(x,fre)
m=stdevf(x,fre,'r')
m=stdevf(x,fre,'c')

 
  </pre>
    <h3>
      <font color="blue">Author</font>
    </h3>
    <p> Carlos Klimann</p>
    <h3>
      <font color="blue">Bibliography</font>
    </h3>
    <p>
    Wonacott, T.H. &amp; Wonacott, R.J.; Introductory Statistics, fifth edition, J.Wiley &amp; Sons, 1990.</p>
  </body>
</html>
